Oscillations of higher-order impulsive partial differential equations with distributed delay

Document Type : Original Article

Authors

1 Department of Mathematics, Kastamonu University, Turkey.

2 Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, Greece

3 Department of Mathematics, Mahendra College of Engineering, (Affiliated to Anna University, Chennai), Salem (Dt), Tamil Nadu, India

10.22034/kjm.2022.295254.2324

Abstract

In this paper, we will consider a class of boundary value problems associated with even order nonlinear impulsive neutral partial functional differential equations with continuous distributed deviating arguments and damping term. Necessary and sufficient conditions are obtained for the oscillation of all solutions using impulsive differential inequalities and integral averaging scheme with the Robin boundary condition. Examples illustrating the results are also given.

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